513160187904 has 1053 divisors, whose sum is σ = 1913777750079. Its totient is φ = 132038000640.

The previous prime is 513160187893. The next prime is 513160187963. The reversal of 513160187904 is 409781061315.

The square root of 513160187904 is 716352.

It is a perfect power (a square), and thus also a powerful number.

513160187904 is a `hidden beast` number, since 5 + 1 + 31 + 601 + 8 + 7 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 341803929600 + 171356258304 = 584640^2 + 413952^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 513160187904.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12516102124 + ... + 12516102164.

Almost surely, 2^513160187904 is an apocalyptic number.

513160187904 is the 716352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513160187904

513160187904 is an abundant number, since it is smaller than the sum of its proper divisors (1400617562175).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513160187904 is a wasteful number, since it uses less digits than its factorization.

513160187904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 513160187904 in words is "five hundred thirteen billion, one hundred sixty million, one hundred eighty-seven thousand, nine hundred four".